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Fuglede's Conjecture on Square-Free Cyclic Groups With Rapidly Growing Primes

A partial result. Fuglede's conjecture remains open for finite cyclic groups generally; this settles an infinite family and, for the spectral-to-tiling direction, only under rapid growth of the prime factors.

Exact FrontierDelta

proved→proved

Scope and record

Occurred: Oct 29, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-assisted. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.

Canonical aliases: Fuglede's Conjecture on Square-Free Cyclic Groups With Rapidly Growing Primes · Fuglede, square-free cyclic

Confidence: Not scored

Registry verification: unreviewed · preprint · partial

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Attribution

VibeMathed
registry · event recorded by

ChatGPT + Gemini
model · ai model contributor

Gábor Somlai
human · human collaborator

Lineage and corrections

Corrects Fuglede's Conjecture on Square-Free Cyclic Groups With Rapidly Growing Primes →

Supersedes Fuglede's Conjecture on Square-Free Cyclic Groups With Rapidly Growing Primes →

A partial result. Fuglede's conjecture remains open for finite cyclic groups generally; this settles an infinite family and, for the spectral-to-tiling direction, only under rapid growth of the prime factors. parent of this event

Fuglede's Conjecture on Square-Free Cyclic Groups With Rapidly Growing Primes evidence for this event

This event attributed to Gábor Somlai

Fuglede's Conjecture on Square-Free Cyclic Groups With Rapidly Growing Primes parent of this event

VibeMathed record: Fuglede's Conjecture on Square-Free Cyclic Groups With Rapidly Growing Primes evidence for this event

This event attributed to ChatGPT + Gemini

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Fuglede's Conjecture on Square-Free Cyclic Groups With Rapidly Growing Primes — Mathematical Frontier Network